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1011012320032 = 251113220938007
BaseRepresentation
bin11101011011001010000…
…01111011101100100000
310120122121012001020121221
432231211001323230200
5113031023123220112
62052241434424424
7133020553633231
oct16554501735440
93518535036557
101011012320032
1135a84a108a30
12143b35b92114
1374451917a40
1436d0cc03088
151b47343ae07
hexeb6507bb20

1011012320032 has 48 divisors (see below), whose sum is σ = 2338407876672. Its totient is φ = 424200971520.

The previous prime is 1011012320029. The next prime is 1011012320033. The reversal of 1011012320032 is 2300232101101.

1011012320032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10110123200322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1011012319988 and 1011012320015.

It is not an unprimeable number, because it can be changed into a prime (1011012320033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110464428 + ... + 110473579.

It is an arithmetic number, because the mean of its divisors is an integer number (48716830764).

Almost surely, 21011012320032 is an apocalyptic number.

It is an amenable number.

1011012320032 is an abundant number, since it is smaller than the sum of its proper divisors (1327395556640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1011012320032 is a wasteful number, since it uses less digits than its factorization.

1011012320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220938041 (or 220938033 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1011012320032 its reverse (2300232101101), we get a palindrome (3311244421133).

The spelling of 1011012320032 in words is "one trillion, eleven billion, twelve million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 4576 220938007 441876014 883752028 1767504056 2430318077 2872194091 3535008112 4860636154 5744388182 7070016224 9721272308 11488776364 19442544616 22977552728 31594135001 38885089232 45955105456 63188270002 77770178464 91910210912 126376540004 252753080008 505506160016 1011012320032